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Simpler criterion and flexibility of operation complexity for perfectly teleporting arbitrary n-qubit state with 2n-qubit pure state

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Abstract

A criterion for whether a pure-state quantum channel consisting of 2n qubits averagely distributed between two nodes can be used for perfectly teleporting an arbitrary n-qubit state via Bell-state measurements is educed. Specifically, a matrix is composed of the coefficients of the known channel state and whether the matrix is unitary decides the criterion. As the criterion is apparently different from the usual standard entanglement criterion (USEC), its applicability is enlarged and verified by other measuring bases. Thorough analyses have further simplified the resultant criterion, so that a much simpler criterion than the USEC is conclusively obtained. Moreover, the flexibility of operation complexity between the non-unitary measurements and the unitary reconstructions is explicitly exhibited.

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Authors and Affiliations

  1. Key Laboratory of Optoelectronic Information Acquisition & Manipulation of Ministry of Education of China, School of Physics & Material Science, Anhui University, Hefei, 230039, China

    XueQin Zuo, ZiYun Zhang, Wen Zhang & ZhanJun Zhang

  2. Department of Physics, Shaoguan University, Shaoguan, 512005, China

    YiMin Liu

Authors
  1. XueQin Zuo
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  2. YiMin Liu
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  3. ZiYun Zhang
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  4. Wen Zhang
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  5. ZhanJun Zhang
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Correspondence to Wen Zhang or ZhanJun Zhang.

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Zuo, X., Liu, Y., Zhang, Z. et al. Simpler criterion and flexibility of operation complexity for perfectly teleporting arbitrary n-qubit state with 2n-qubit pure state. Sci. China Phys. Mech. Astron. 53, 2069–2073 (2010). https://doi.org/10.1007/s11433-010-4111-1

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  • DOI: https://doi.org/10.1007/s11433-010-4111-1

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